09/07/2008, 10:56 AM

Hello,

I'm a hobby mathematician, taking fun on working on tetration. I would like to know if a Taylor series development exists for the ultra exponential function.

In my mind (correct me if I'm wrong), upx function as defined as the following:

- upx(1) = e

- upx(x+1) = exp ( upx(x) )

Thank you for your help !

I'm a hobby mathematician, taking fun on working on tetration. I would like to know if a Taylor series development exists for the ultra exponential function.

In my mind (correct me if I'm wrong), upx function as defined as the following:

- upx(1) = e

- upx(x+1) = exp ( upx(x) )

Thank you for your help !